His best known scientific work is the study of instabilities in expanding blast waves. In Vishniac (1983), he demonstrated that a blast wave expanding in a sufficiently compressible medium would be subject to a linear overstability growing as the square root of time. This is usually known as the Vishniac instability, and generally occurs in any thin enough slab bounded by a shock on one side and a contact discontinuity to a higher temperature region on the other. In Vishniac (1994) he then demonstrated that a thin-enough slab bounded by shocks on both sides is subject to a nonlinear instability, usually described as a nonlinear thin shell instability (NTSI). He has also worked with success in
cosmology and the theory of astrophysical
dynamos. ==Honors and awards==